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-   -   Found a factor, sunshine? Embalm and entomb it here! (RU "Выкрасить и выбросить")) (https://www.mersenneforum.org/showthread.php?t=13977)

tha 2021-12-26 13:24

Using the P-1method and version mprime 30.8 on a 64 GB machine I found a factor for M9509161.

The factor itself is a rather normal one: 493379850346175773054490527.

The fun is in the factoring of k, it yields: 32 × 11 × 47 × 109 × 16921 × 3022898999.

The 3022898999 is very narrow under the B2 limit of 3089082150.

Zhangrc 2021-12-26 16:13

[QUOTE=techn1ciaN;596184]M[M]109101319[/M] has a factor: 89994947583983983892401

First find for my old laptop that I just dug out and set to doing P-1. It's fairly low-end (two-core Zen+, 8 GB RAM) and can finish maybe two wavefront P-1 runs a day with [c]tests_saved=1[/c], so hitting pay dirt within two exponents was a pleasant surprise (and a handy confirmation of hardware functionality).

Interestingly, this factor could also have been found with TF77.[/QUOTE]

This is a rather smooth factor and should be found in stage 1.
Is stage 1 GCD deprecated?

firejuggler 2021-12-26 19:03

No, but you can skip the stage1 GCD

kruoli 2022-01-01 19:50

Hopefully I am not saying something that I should not...

masser found a mass(er)ive one!
[M]M8639051[/M] has a 148.409-bit (45-digit) factor: [url=https://www.mersenne.ca/M8639051]473925524306620205153987295206898877469479169[/url] placed 15th in the top P-1 list!

masser 2022-01-01 20:44

[QUOTE=kruoli;596836]Hopefully I am not saying something that I should not...

masser found a mass(er)ive one!
[M]M8639051[/M] has a 148.409-bit (45-digit) factor: [url=https://www.mersenne.ca/M8639051]473925524306620205153987295206898877469479169[/url] placed 15th in the top P-1 list![/QUOTE]

I was curious how long it would take someone to notice that one. It's a beast!

nordi 2022-01-04 12:42

[M]M12086257[/M] has a 232.056-bit (70-digit) [B]composite[/B] (P21+P22+P28) factor: [URL="https://www.mersenne.ca/M12086257"]7175325903126100642770883886258989157868691603487785881027652989293479[/URL] (P-1,B1=400000,B2=275121000)


My very first triple factor. :cool:

James Heinrich 2022-01-04 14:47

[QUOTE=nordi;597092]My very first triple factor. :cool:[/QUOTE]Ooh, pretty! :cool:

Jan S 2022-01-05 16:57

[M]108316331[/M]

4748876008595777234809387978603489

B1=1070000, B2=204164730

111.871 bits

bur 2022-01-07 07:45

[QUOTE=Batalov;595540]Also, one man's gift is another man's poison.[/QUOTE]Das ist korrekt.


In other news, I got excited about a 51 digit P-1 factor. Turned out it were two factors, but that's still nice, especially since it came from free Colab via GPU72:

[CODE][URL=https://www.mersenne.ca/exponent/21747997]M21747997[/URL]
(P-1, B1=799000, B2=42406000)

Factor: 111450262682214711089353
k = 2^2 × 3^2 × 7^2 × 613673 × 2366989

Factor: 2198130602062734345911531551
3 × 5^2 × 7^2 × 11 × 53 × 71 × 170749 × 1945637[/CODE]

firejuggler 2022-01-10 20:20

[M]M8579873[/M] has a 123.322-bit (38-digit) factor: [url=https://www.mersenne.ca/M8579873]13293461509110533295456570028915625897[/url] (P-1,B1=1560000,B2=627605550)

Zhangrc 2022-01-11 03:07

[m]M13215599[/m] has a composite factor: 156983032676499216249507946592486467212604643431265282431 (186.679 bits) = 32454152674998424032372319 (84.747 bits) * 4837070751732600558995351425249 (101.932 bits).


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